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Finding the Fourth Proportional to 208,599.42, 312,912.35 and 80,576.78

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Solution

The fourth proportional to 208,599.42, 312,912.35 and 80,576.78 is: 120,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599.42 : 312,912.35 = 80,576.78 : x
  2. Step 2: Convert to fraction form
    208,599.42/312,912.35 = 80,576.78/x
  3. Step 3: Cross multiply
    208,599.42x = 312,912.35 × 80,576.78
  4. Step 4: Simplify right side
    208,599.42x = 25,213,467,919.95
  5. Step 5: Solve for x
    x = 25,213,467,919.95/208,599.42
  6. Step 6: Final answer
    x = 120,870.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.